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engineering
mechanical engineering

Questions and Answers of Mechanical Engineering

Solve Problem 4.122 assuming that cable EF is replaced by a cable attached at points E and H. P4.122 The rectangular plate shown has a mass of 15 kg and is held in the position shown by hinges A and
A small door weighing 16 lb is attached by hinges A and B to a wall and is held in the horizontal position shown by rope EFH. The rope passes around a small, frictionless pulley at F and is tied to a
Solve Problem 4.124 assuming that the rope is attached to the door at I. P4.124 A small door weighing 16 lb is attached by hinges A and B to a wall and is held in the horizontal position shown by
A 285-lb uniform rectangular plate is supported in the position shown by hinges A and B and by cable DCE, which passes over a frictionless hook at C. Assuming that the tension is the same in both
Solve Problem 4.126 assuming that cable DCE is replaced by a cable attached to point E and hook C. P4.126 A 285-lb uniform rectangular plate is supported in the position shown by hinges A and B and
The tensioning mechanism of a belt drive consists of frictionless pulley A, mounting plate B, and spring C. Attached below the mounting plate is slider block D which is free to move in the
The assembly shown is welded to collar A which fits on the vertical pin shown. The pin can exert couples about the x and z axes but does not prevent motion about or along the y axis. For the loading
The lever AB is welded to the bent rod BCD which is supported by bearing E and by cable DG. Assuming that the bearing can exert an axial thrust and couples about axes parallel to the x and z axes,
Solve Problem 4.124 assuming that the hinge at A is removed and that the hinge at B can exert couples about the y and z axes. P4.124 A small door weighing 16 lb is attached by hinges A and B to a
The frame shown is supported by three cables and a ball-and-socket joint at A. For P = 0, determine the tension in each cable and the reaction at A.
The frame shown is supported by three cables and a ball-and-socket joint at A. For P = 50 N, determine the tension in each cable and the reaction at A.
The rigid L-shaped member ABF is supported by a ball-and-socket joint at A and by three cables. For the loading shown, determine the tension in each cable and the reaction at A.
Solve Problem 4.134 assuming that the load at C has been removed. P4.134 The rigid L-shaped member ABF is supported by a ball-and socket joint at A and by three cables. For the loading shown,
In order to clean the clogged drainpipe AE, a plumber has disconnected both ends of the pipe and inserted a power snake through the opening at A. The cutting head of the snake is connected by a heavy
Solve Problem 4.136 assuming that the plumber exerts a force F= − (60 N)k and that the motor is turned off (M = 0). P4.136 In order to clean the clogged drainpipe AE, a plumber has disconnected
Three rods are welded together to form a “corner” which is supported by three eyebolts. Neglecting friction, determine the reactions at A, B, and C when P = 240 N, a = 120 mm, b = 80 mm, and c =
Solve Problem 4.138 assuming that the force P is removed and is replaced by a couple M = + (6 N ⋅ m)j acting at B. P4.138 Three rods are welded together to form a "corner" which is supported by
The uniform 10-lb rod AB is supported by a ball-and-socket joint at A and leans against both the rod CD and the vertical wall. Neglecting the effects of friction, determine(a) The force which rod CD
A 21-in.-long uniform rod AB weighs 6.4 lb and is attached to a ball-and socket joint at A. The rod rests against an inclined frictionless surface and is held in the position shown by cord BC.
While being installed, the 56-lb chute ABCD is attached to a wall with brackets E and F and is braced with props GH and IJ. Assuming that the weight of the chute is uniformly distributed, determine
While being installed, the 56-lb chute ABCD is attached to a wall with brackets E and F and is braced with props GH and IJ. Assuming that the weight of the chute is uniformly distributed, determine
To water seedlings, a gardener joins three lengths of pipe, AB, BC, and CD, fitted with spray nozzles and suspends the assembly using hinged supports at A and D and cable EF. Knowing that the pipe
Solve Problem 4.144 assuming that cable EF is replaced by a cable connecting E and C. P4.144 To water seedlings, a gardener joins three lengths of pipe, AB, BC, and CD, fitted with spray nozzles and
The bent rod ABDE is supported by ball-and-socket joints at A and E and by the cable DF. If a 600-N load is applied at C as shown, determine the tension in the cable.
Solve Problem 4.146 assuming that cable DF is replaced by a cable connecting B and F. P4.146 The bent rod ABDE is supported by ball-and-socket joints at A and E and by the cable DF. If a 600-N load
Two rectangular plates are welded together to form the assembly shown. The assembly is supported by ball-and-socket joints at B and D and by a ball on a horizontal surface at C. For the loading
Two 1 × 2-m plywood panels, each of mass 15 kg, are nailed together as shown. The panels are supported by ball-and-socket joints at A and F and by the wire BH. Determine (a) The location of H in the
Solve Problem 4.149 subject to the restriction that H must lie on the y axis. P4.149 Two 1 × 2-m plywood panels, each of mass 15 kg, are nailed together as shown. The panels are supported by
A uniform 20 × 30-in. steel plate ABCD weighs 85 lb and is attached to ball-and-socket joints at A and B. Knowing that the plate leans against a frictionless vertical wall at D, determine(a) The
Beam AD carries the two 40-lb loads shown. The beam is held by a fixed support at D and by the cable BE which is attached to the counter-weight W. Determine the reaction at D when(a) W = 100 lb,(b) W
For the beam and loading shown, determine the range of values of W for which the magnitude of the couple at D does not exceed 40 lb ⋅ft.
Determine the reactions at A and D when β = 30°.
Determine the reactions at A and D when β = 60°.
A 2100-lb tractor is used to lift 900 lb of gravel. Determine the reaction at each of the two(a) Rear wheels A,(b) Front wheels B.
A tension of 5 lb is maintained in a tape as it passes the support system shown. Knowing that the radius of each pulley is 0.4 in., determine the reaction at C.
Solve Problem 4.157 assuming that 0.6-in.-radius pulleys are used. P4.157 A tension of 5 lb is maintained in a tape as it passes the support system shown. Knowing that the radius of each pulley is
The bent rod ABEF is supported by bearings at C and D and by wire AH. Knowing that portion AB of the rod is 250 mm long, determine(a) The tension in wire AH,(b) The reactions at C and D. Assume that
For the beam and loading shown, determine(a) The reaction at A,(b) The tension in cable BC.
Frame ABCD is supported by a ball-and-socket joint at A and by three cables. For a = 150 mm, determine the tension in each cable and the reaction at A.
Frame ABCD is supported by a ball-and-socket joint at A and by three cables. Knowing that the 350-N load is applied at D (a = 300 mm), determine the tension in each cable and the reaction at A.
In the problems listed below, the rigid bodies considered were completely constrained and the reactions were statically determinate. For each of these rigid bodies it is possible to create an
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
For the area of Problem 5.8, determine the ratio r2/r1 so that y = 3r1/4.
Show that as r1 approaches r2, the location of the centroid approaches that of a circular arc of radius (r1 + r2)/2.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
The horizontal x axis is drawn through the centroid C of the area shown and divides the area into two component areas A1 and A2. Determine the first moment of each component area with respect to the
The horizontal x axis is drawn through the centroid C of the area shown and divides the area into two component areas A1 and A2. Determine the first moment of each component area with respect to the
The first moment of the shaded area with respect to the x axis is denoted by Qx.(a) Express Qx in terms of r and θ.(b) For what value of θ is Qx maximum, and what is the maximum value?
A composite beam is constructed by bolting four plates to four 2×2×3/8-in. angles as shown. The bolts are equally spaced along the beam, and the beam supports a vertical load. As proved in
A thin, homogeneous wire is bent to form the perimeter of the figure indicated. Locate the center of gravity of the wire figure thus formed.
A thin, homogeneous wire is bent to form the perimeter of the figure indicated. Locate the center of gravity of the wire figure thus formed.
A thin, homogeneous wire is bent to form the perimeter of the figure indicated. Locate the center of gravity of the wire figure thus formed.
A thin, homogeneous wire is bent to form the perimeter of the figure indicated. Locate the center of gravity of the wire figure thus formed.
A 750 = g uniform steel rod is bent into a circular arc of radius 500 mm as shown. The rod is supported by a pin at A and the cord BC. Determine(a) The tension in the cord,(b) The reaction at A.
The homogeneous wire ABCD is bent as shown and is supported by a pin at B. Knowing that l = 8 in., determine the angle θ for which portion BC of the wire is horizontal.
The homogeneous wire ABCD is bent as shown and is supported by a pin at B. Knowing that θ = 30°, determine the length l for which portion CD of the wire is horizontal.
The homogeneous wire ABCD is bent as shown and is attached to a hinge at C. Determine the length L for which the portion BCD of the wire is horizontal.
Determine the distance h so that the centroid of the shaded area is as close to line BB′ as possible when(a) k = 0.2,(b) k = 0.6.
Show when the distance h is selected to minimize the distance y from line BB′ to the centroid of the shaded area that y = h.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and h.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and h.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and h.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b.
A homogeneous wire is bent into the shape shown. Determine by direct integration the x coordinate of its centroid. Express your answer in terms of a.
A homogeneous wire is bent into the shape shown. Determine by direct integration the x coordinate of its centroid.
A homogeneous wire is bent into the shape shown. Determine by direct integration the x coordinate of its centroid.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown.
Determine the volume and the surface area of the solid obtained by rotating the area of Problem. 5.2 about(a) The x axis,(b) The line x = 165 mm.
Determine the volume and the surface area of the solid obtained by rotating the area of Problem 5.4 about(a) The line y = 22 mm,(b) The line x = 12 mm.
Determine the volume and the surface area of the solid obtained byrotating the area of Problem 5.1 about(a) The x axis,(b) The line x = 16 in.
Determine the volume of the solid generated by rotating the semielliptical area shown about(a) The axis AA′,(b) The axis BB′,(c) The y axis.
Determine the volume and the surface area of the chain link shown, which is made from a 2-in.-diameter bar, if R = 3 in. and L = 10 in.
Verify that the expressions for the volumes of the first four shapes in Figure 5.21 on page 261 are correct.
A 15-mm-diameter hole is drilled in a piece of 20-mm-thick steel; the hole is then countersunk as shown. Determine the volume of steel removed during the countersinking process.
Three different drive belt profiles are to be studied. If at any given time each belt makes contact with one-half of the circumference of its pulley, determine the contact area between the belt and
Determine the capacity, in gallons, of the punch bowl shown if 12 R = in.
The aluminum shade for a small high-intensity lamp has a uniform thickness of 3/32 in. Knowing that the specific weight of aluminum is 0.101 lb/in3, determine the weight of the shade.
The top of a round wooden table has the edge profile shown. Knowing that the diameter of the top is 1100 mm before shaping and that the density of the wood is 690 kg/m3, determine the weight of the
The top of a round wooden table has the shape shown. Determine how many liters of lacquer are required to finish 5000 tops knowing that each top is given three coats of lacquer and that 1 liter of
The escutcheon (a decorative plate placed on a pipe where the pipe exits from a wall) shown is cast from yellow brass. Knowing that the specific weight of yellow brass is 0.306 lb/in3 determine the

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